curve #3913

y² = x³ − 416652406749347595100767x + 103406818411730339647462059867251874

a-invariants: [0, 0, 0, -416652406749347595100767, 103406818411730339647462059867251874]
rank (lower bound): ≥ 18
torsion subgroup: trivial
conductor (N): 7390372215965416385697456209109523843352382342072327720840
discriminant (Δ): 9791234695961586070329137202195824006818242737151435040272214173600000
Faltings height: 12.3399
naive height: 174.7732
primes of bad reduction: 2, 3, 5, 7, 11, 13, 19, 43, 25101962555211062518664037611747438755153395299357
regulator: 113655839686027581.90162192249344964524778065395688307470842995789526202901
submitted by: 7fff-zip
submitted at: 2026-10-04 15:32:59 UTC
last updated: 2026-10-04 15:32:59 UTC

(362699127750, 813975302754432)
(359470196709, 9111052456292430)
(359492340075, 9075777539178168)
(360575975163, 7229672586329760)
(361021016133, 6375042084042450)
(361213392730, 5978960467995158)
(362107343193, 3750057018710730)
(362262098193, 3238075606963230)
(362282656773, 3164451703921170)
(362712356113, -609685543546910)
(362724956358, -308287348340400)
(362726621593, -241871485282570)
(362727293409, -209194311395790)
(382527168213, -138704233498110)
(382528447483, -218643943513600)
(382531446633, -338808814150950)
(382624980333, 1488030946324650)
(383944144513, 5827989093375790)

No commentary yet.